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Finding the Third Proportional to 204,492 and 437,416

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Solution

The third proportional to 204,492 and 437,416 is: 935,649.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,492 : 437,416 = 437,416 : x
  2. Step 2: Convert to fraction form
    204,492/437,416 = 437,416/x
  3. Step 3: Cross multiply
    204,492x = 437,416 × 437,416
  4. Step 4: Simplify right side
    204,492x = 191,332,757,056
  5. Step 5: Solve for x
    x = 191,332,757,056/204,492
  6. Step 6: Final answer
    x = 935,649.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.